On q-Operators and Summation of Some q-Series

Using Jackson's q-derivative and the q-Stirling numbers, we establish some transformation theorems leading to the values of some convergent q-series.

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Bibliographic Details
Main Authors: Sana Guesmi, Ahmed Fitouhi
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2010/785949
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author Sana Guesmi
Ahmed Fitouhi
author_facet Sana Guesmi
Ahmed Fitouhi
author_sort Sana Guesmi
collection DOAJ
description Using Jackson's q-derivative and the q-Stirling numbers, we establish some transformation theorems leading to the values of some convergent q-series.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-deca5fbb3e8e4194a8c08a88508ccefc2025-08-20T03:26:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/785949785949On q-Operators and Summation of Some q-SeriesSana Guesmi0Ahmed Fitouhi1Faculté des Sciences de Tunis, Tunis 1060, TunisiaFaculté des Sciences de Tunis, Tunis 1060, TunisiaUsing Jackson's q-derivative and the q-Stirling numbers, we establish some transformation theorems leading to the values of some convergent q-series.http://dx.doi.org/10.1155/2010/785949
spellingShingle Sana Guesmi
Ahmed Fitouhi
On q-Operators and Summation of Some q-Series
International Journal of Mathematics and Mathematical Sciences
title On q-Operators and Summation of Some q-Series
title_full On q-Operators and Summation of Some q-Series
title_fullStr On q-Operators and Summation of Some q-Series
title_full_unstemmed On q-Operators and Summation of Some q-Series
title_short On q-Operators and Summation of Some q-Series
title_sort on q operators and summation of some q series
url http://dx.doi.org/10.1155/2010/785949
work_keys_str_mv AT sanaguesmi onqoperatorsandsummationofsomeqseries
AT ahmedfitouhi onqoperatorsandsummationofsomeqseries